Alireza Vahidi - Department of Mathematics, Payame Noor University (PNU), IRAN

Let R be a commutative Noetherian ring with non-zero identity, let a be an ideal of R, and let M be a finitelygenerated R–module. In this paper, we provide an elementary proof to show that if a۱; .... an is an a–filterregular sequence on M, then there are the following isomorphisms:(...)